What is the limit as x approaches 5 of x/(10-2x) ?

The limit as x approaches 5 of x/(10-2x) is diverges

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limit as x approaches 5 of x/(10-2x)

x \to 5 lim (\frac{x}{10 - 2 x})

diverges

Solution steps

x \to 5 lim (\frac{x}{10 - 2 x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 5 + lim (\frac{x}{10 - 2 x}) = - \infty

x \to 5 - lim (\frac{x}{10 - 2 x}) = \infty

= diverges

x \to \frac{2}{3} + lim (3 x - 2)

x \to - 4 lim (\frac{2}{x + 4})

x \to 0 lim (2^{x} + x^{2})

x \to 0 lim (\frac{4 ( - 1 + x ) + 4}{x})

x \to 0 lim (\frac{x ^{3} + x}{3})

What is the limit as x approaches 5 of x/(10-2x) ?
The limit as x approaches 5 of x/(10-2x) is diverges